Algebra II Course Outline
Time Frame
Unit
4 weeks
1: Algebra 1 Review
Sec 5.4
4 weeks
2: Rational and Imaginary
Numbers
Sec 5.5-5.9
4 weeks
3: Quadratic Functions
Sec 6.1-6.3, 6.5, 6.6
Essential Skills/Objectives
1. Polynomials:
Laws of exponents, Add/Sub/Mult/Div polynomials,
factoring (GCF, difference of 2 squares, perfect squares,
trinomials where a = 1)
2. Radicals:
Finding exact real values of square roots.
Add/Sub/Multiply/Divide Square roots.
Rationalize the denominator.
1. Simplify polynomial quotients by factoring(rational
expressions)
2. Simplify radical roots greater than 2 and multiplying
by the conjugate.
4. Use a calculator to approximate radicals
5. Simplify radical expressions
6. Add, subtract, multiply, and divide radical
expressions
7. Write expressions with rational exponents in radical
form, and vice versa
8. Simplify expressions in exponential or radical form
9. Solve equations or inequalities containing radicals
10. Add, subtract, multiply, and divide complex numbers
1. Graph quadratic functions
2. Find and interpret maximum and minimum values of
a quadratic function
3. Solve quadratic equations by graphing
4. Estimate solutions of quadratic equations by graphing
5. Solve quadratic equations by factoring
6. Write a quadratic equation with given roots
7. Solve quadratic equations by using the quadratic
formula
8. Use the discriminant to determine the number and
type of roots or a quadratic equation
9. Analyze quadratic functions of the form y=a(x-h)2+k
10. Write quadratic function in the form of y=a(x-h)2+k
Time Frame
5 weeks
Unit
4: Polynomial Functions
Sec 7.1-7.3, 7.5, 7.8
4 weeks
5: Rational Expressions
and Equations
Sec 9.1, 9.2, 9.6
5 weeks
6: Exponential Functions
and Logarithmic
Functions
Sec 10.1-10.6
3 weeks
7: Functions and Data
Analysis
Essential Skills/Objectives
1. Evaluate polynomial functions
2. Identify general shapes of graphs of polynomial
functions
3. Graph polynomial functions and locate their real
zeroes
4. Find the maxima and minima of polynomial functions
5. Write equations in quadratic form
6. Use quadratic techniques to solve equations
7. Determine the number and types of roots for a
polynomial equation
8. Find the zeroes of a polynomial function
9. Find the inverse of a function or relation
10. Determine whether two functions or relations are
inverse
1. Simplify rational expressions
2. Simplify complex fractions
3. Determine the LCM of polynomials
4. Add and subtract rational expressions
5. Solve rational equations and inequalities
1. Graph exponential functions
2. Solve exponential equations and inequalities
3. Evaluate logarithmic expressions
4. Solve logarithmic equations and inequalities
5. Simplify and evaluate expressions using the
properties of logarithms
6. Solve logarithmic equations using the properties of
logarithms
7. Solve exponential equations and inequalities using
common logarithms
8. Evaluate logarithmic expressions using the Change of
Base Formula
9. Evaluate expressions involving the natural base and
natural logarithms
10. Solve exponential equations and inequalities using
natural logarithms
11. Use logarithms to solve problems involving
exponential decay and growth.
1. Write functions or sequences that model
relationships between two quantities.
2. Create and graph equations or inequalities to
describe numbers or relationships.
3. Write functions or sequences that model
relationships between two quantities.
4. Construct and compare linear, quadratic and
exponential models to solve problems.
5. Interpret functions in terms of the situations they
model.
6. Analyze linear models to make interpretations based
on data (lines and curves of best fit).
Time Frame
4 weeks
3 weeks
Unit
8: Sequences
Sec 11.1, 11.3
9: Probability
Sec 12.2, 12.4, 12.5
Essential Skills/Objectives
1. Use arithmetic sequences
2. Find arithmetic means
3. Use geometric sequences
4. Find geometric means
1. Solve problems involving linear permutations
2. Solve problems involving combinations
3. Find the probability of two independent events and
two dependent events
4. Find the probability of mutually exclusive or inclusive
events